一种新的变步长自适应谐波检测算法

提出了一种新的变步长最小均方(LMS)自适应谐波检测算法，并将其应用于有源电力滤波器中。该方法根据误差信号的时间均值估计来调节递推算法的步长，其优越性在于：即使在待检信号的信噪比(SNR)较低的情况下，也能够保证谐波检测过程既具有较快的动态响应速度，又保持较小的稳态失调。通过递推公式系数的选择，可以对系统的收敛速度与稳态失调进行更灵活的控制，而不像定步长 LMS 算法那样必须在两者性能上进行折中选择。仿真和实验结果亦证明了理论分析的有效性。

A Novel Adaptive Harmonic Detecting Algorithm Based on Variable Step-size LMS

Based on variable step-size least mean square(LMS),this paper presents a novel adaptive harmonic detectingalgorithm,which uses the estimation of the time-average of error signal to control the updating of the step-size.It can providea fast convergence at the early stages of adaptation while ensuring a small final maladjustment even under low signal-to-noiseratio conditions.With the help of this algorithm,more flexible control of maladjustment and convergence time can be performedwithout the need to compromise one for the other.Theoretical analysis is also verified by simulation and experiment results.